Understanding Simple Arrangements and Selections

The video tutorial by Professor Marcos Aba covers the concept of simple arrangements, explaining when and how to use them. It includes a practical example involving the selection of school staff and demonstrates the calculation using both the 'tracinhos' method and the formula for arrangements. The tutorial also addresses solving an equation involving arrangements, emphasizing the importance of understanding order and hierarchy in problems.

What is the main focus of the video tutorial?

• Solving algebraic equations

• Learning about combinations

• Understanding simple arrangements

• Studying probability

How many teachers are available for selection in the problem?

• 20

• 15

• 12

• 10

Which positions need to be filled in the problem?

• Director, Vice-Director, and Treasurer

• Principal, Vice-Principal, and Coordinator

• Director, Vice-Director, and Coordinator

• Director, Vice-Director, and Secretary

How many choices are there for the first position (Director)?

• 14

• 13

• 12

• 15

What is the total number of possible selections for the three positions?

• 4,550

• 3,640

• 2,730

• 1,820

What is the formula for simple arrangements?

• n! / p!

• n! / (n - p)!

• n! / (n + p)!

• n! * p!

In the formula for simple arrangements, what does 'n' represent?

• The number of positions

• The number of elements to choose from

• The factorial of the number of positions

• The factorial of the number of elements

What is the result of 15! / 12! in the context of the problem?

• 4,550

• 2,730

• 1,820

• 3,640

What is the value of X if A(X, 2) = 6?

• 2

• 4

• 5

• 3

Why can't the value of X be negative in the context of the problem?

• Because the formula does not support negative values

• Because negative numbers are not allowed in arrangements

• Because X represents a quantity of elements

• Because X represents a position